What's the cause of cancellations in our spectra?

Spectra evolving with dephasing

Difference of absolute values of individual spectra

Look at cosine of phase difference

$$ I\propto \omega^2\lvert j_{inter} + j_{intra}\rvert = \omega^2\left[\lvert j_{inter}\rvert^2 + \lvert j_{inter}\rvert^2 + 2|j_{inter}||j_{intra}|\cos(\phi_{inter} - \phi_{intra})\right] $$

Is it actually a power law?

Look at phases

Phase of total velocity

Zoom in

Phase difference

Now again with zero padding

pad (generic function with 1 method)

Phase difference